Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 861, 724, 627, 235 i.e. 1 largest integer that divides all the numbers equally.
GCD of 861, 724, 627, 235 is 1
GCD(861, 724, 627, 235) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 861, 724, 627, 235 is 1
GCD(861, 724, 627, 235) = 1
Given Input numbers are 861, 724, 627, 235
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 627
List of positive integer divisors of 627 that divides 627 without a remainder.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Greatest Common Divisior
We found the divisors of 861, 724, 627, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 724, 627, 235 is 1.
Therefore, GCD of numbers 861, 724, 627, 235 is 1
Given Input Data is 861, 724, 627, 235
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 627 is 3 x 11 x 19
Prime Factorization of 235 is 5 x 47
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(861, 724) = 623364
GCD(861, 724) = ( 861 x 724 ) / 623364
GCD(861, 724) = 623364 / 623364
GCD(861, 724) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 627
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 627) = 627
GCD(1, 627) = ( 1 x 627 ) / 627
GCD(1, 627) = 627 / 627
GCD(1, 627) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 235
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 235) = 235
GCD(1, 235) = ( 1 x 235 ) / 235
GCD(1, 235) = 235 / 235
GCD(1, 235) = 1
GCD of 861, 724, 627, 235 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 861, 724, 627, 235?
GCD of 861, 724, 627, 235 is 1
2. Where do I get the detailed procedure to find GCD of 861, 724, 627, 235?
You can find a detailed procedure to find GCD of 861, 724, 627, 235 on our page.
3. How to find GCD of 861, 724, 627, 235 on a calculator?
You can find the GCD of 861, 724, 627, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.